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Finding the Third Proportional to 67,715 and 145,836.50

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Solution

The third proportional to 67,715 and 145,836.50 is: 314,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,715 : 145,836.50 = 145,836.50 : x
  2. Step 2: Convert to fraction form
    67,715/145,836.50 = 145,836.50/x
  3. Step 3: Cross multiply
    67,715x = 145,836.50 × 145,836.50
  4. Step 4: Simplify right side
    67,715x = 21,268,284,732.25
  5. Step 5: Solve for x
    x = 21,268,284,732.25/67,715
  6. Step 6: Final answer
    x = 314,085.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.